A box plot may be used at a preliminary stage to determine the centre and spread of a set of data. The box [and whiskers] plot measures the central point by the median and the range from the maximum and minimum or the quartile points.
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to simply organise your numbers.ajm If you can make a histogram, a dotplot, or even a boxplot; there is no reason to do a steam and leaf plot. It's the worst graph. With a stem and leaf graph, you can see the distribution of data points, and determine whether it's normal distribution or not. As mentioned above, there are better graphs for doing that, though.
It is not possible to determine the range since there is always the possibility that there are outliers. Also, there is no information about the skewness of the data. If the distribution is symmetric, there is a high probability (99.75%) that the values will lie within 3 standard deviations of the mean - that is between 40 and 160.
The median is Q2, if it is on the right side of the box, then then it is close to Q3 than it is to Q1. If the right line ( whisker) is longer than the left, it mean the biggest outlier is farther from Q3 than the smallest outlier is from Q1. All of this means the population from which the data was sampled was skewed to the right.
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Personally, I use them to count with.